Exact correspondence between Renyi entropy flows and physical flows
arXiv:1502.08020 · doi:10.1103/PhysRevB.91.174307
Abstract
We present a universal relation between the flow of a Renyi entropy and the full counting statistics of energy transfers. We prove the exact relation for a flow to a system in thermal equilibrium that is weakly coupled to an arbitrary time-dependent and non-equilibrium system. The exact correspondence, given by this relation, provides a simple protocol to quantify the flows of Shannon and Renyi entropies from the measurements of energy transfer statistics.
9 pages, 5 figures
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